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carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
i2 : d=carpetDet(a,b)
 -- 0.0079463 seconds elapsed
 -- 0.0306441 seconds elapsed
 -- 0.000241481 seconds elapsed
 -- 0.00025616 seconds elapsed
 -- 0.000202681 seconds elapsed
 -- 0.000188441 seconds elapsed
 -- 0.000183321 seconds elapsed
 -- 0.00019548 seconds elapsed
 -- 0.000208241 seconds elapsed
 -- 0.000211 seconds elapsed
 -- 0.00023244 seconds elapsed
 -- 0.00019216 seconds elapsed
 -- 0.00017372 seconds elapsed
 -- 0.000176721 seconds elapsed
 -- 0.000170801 seconds elapsed
 -- 0.00017704 seconds elapsed
 -- 0.00018336 seconds elapsed
 -- 0.00017 seconds elapsed
 -- 0.0002164 seconds elapsed
 -- 0.000205961 seconds elapsed
 -- 0.000198801 seconds elapsed
 -- 0.0001884 seconds elapsed
 -- 0.00020712 seconds elapsed
 -- 0.00016524 seconds elapsed
 -- 0.00017304 seconds elapsed
 -- 0.000200961 seconds elapsed
 -- 0.000205561 seconds elapsed
 -- 0.000206 seconds elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :

For the programmer

The object carpetDet is a method function.